Q: What are the factor combinations of the number 124,102,439?
A:
Positive:
1 x 1241024398387 x 14797
Negative:
-1 x -124102439-8387 x -14797
A:
Positive:
1 x 1241024398387 x 14797
Negative:
-1 x -124102439-8387 x -14797
Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 124,102,439, it is easier to work with a table - it's called factoring from the outside in.
We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.
1 | 124,102,439 | |
-1 | -124,102,439 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 124,102,439.
Example:
1 x 124,102,439 = 124,102,439
and
-1 x -124,102,439 = 124,102,439
Notice both answers equal 124,102,439
With that explanation out of the way, let's continue. Next, we take the number 124,102,439 and divide it by 2:
124,102,439 ÷ 2 = 62,051,219.5
If the quotient is a whole number, then 2 and 62,051,219.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
1 | 124,102,439 | |
-1 | -124,102,439 |
Now, we try dividing 124,102,439 by 3:
124,102,439 ÷ 3 = 41,367,479.6667
If the quotient is a whole number, then 3 and 41,367,479.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
1 | 124,102,439 | |
-1 | -124,102,439 |
Let's try dividing by 4:
124,102,439 ÷ 4 = 31,025,609.75
If the quotient is a whole number, then 4 and 31,025,609.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
1 | 124,102,439 | |
-1 | 124,102,439 |
If you did it right, you will end up with this table:
1 | 8,387 | 14,797 | 124,102,439 |
-1 | -8,387 | -14,797 | -124,102,439 |
Here are some more numbers to try:
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